A Treatise on Differential Equations, Volum 1Macmillan, 1872 - 85 sider |
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Side ii
George Boole. Cambridge : PRINTED LY C. J. CLAY , M. A. AT THE UNIVERSITY PRESS . A TREATISE ON DIFFERENTIAL EQUATIONS . BY GEORGE BOOLE ,
George Boole. Cambridge : PRINTED LY C. J. CLAY , M. A. AT THE UNIVERSITY PRESS . A TREATISE ON DIFFERENTIAL EQUATIONS . BY GEORGE BOOLE ,
Side iii
... MATHEMATICS IN THE QUEEN'S UNIVERSITY , IRELAND , HONORARY MEMBER OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY . THIRD EDITION . London : MACMILLAN AND CO . 1872 . [ All Rights reserved . ] R. 233 1933 Q PREFACE . I HAVE endeavoured ,
... MATHEMATICS IN THE QUEEN'S UNIVERSITY , IRELAND , HONORARY MEMBER OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY . THIRD EDITION . London : MACMILLAN AND CO . 1872 . [ All Rights reserved . ] R. 233 1933 Q PREFACE . I HAVE endeavoured ,
Side x
... St John's College , as well as by myself ; and I trust that few misprints or errors will now be found in the volume . ST JOHN'S COLLEGE , CAMBRIDGE , October , 1865 . I. TODHUNTER . CONTENTS . CHAPTER I. OF THE NATURE AND ORIGIN OF.
... St John's College , as well as by myself ; and I trust that few misprints or errors will now be found in the volume . ST JOHN'S COLLEGE , CAMBRIDGE , October , 1865 . I. TODHUNTER . CONTENTS . CHAPTER I. OF THE NATURE AND ORIGIN OF.
Side 66
... ( Cambridge Mathematical Journal , Vol . IV . p . 241. First Series . ) Suppose M and N to be homogeneous functions of x and of the degree n . Then we may write M = x " ( v ) , N = x " ( v ) ........ xˆ ‡ N = x ” f where v stands for ...
... ( Cambridge Mathematical Journal , Vol . IV . p . 241. First Series . ) Suppose M and N to be homogeneous functions of x and of the degree n . Then we may write M = x " ( v ) , N = x " ( v ) ........ xˆ ‡ N = x ” f where v stands for ...
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A Treatise on Differential Equations: Supplementary Volume George Boole Uten tilgangsbegrensning - 1865 |
Vanlige uttrykk og setninger
2ndly algebraic arbitrary constants arbitrary function assume C₁ C₂ Chap Chapter complete primitive condition Crown 8vo curve deduce derived determined differential coefficients dp dp dp dq dp dy dt dt dv du dv dv dv dx dx dx dy dy dx dz dx² dy dx dy dz dz dx dz dy dz dz Edition eliminating equa exact differential expressed fcap finite given equation Hence homogeneous functions independent variable integrating factor involving method Mx+Ny obtained ordinary differential equations P₁ partial differential equation particular integral pdx+qdy primitive equation reduced relation represent respect result satisfied second member second order Shew shewn singular solution substituting suppose theorem tion transformation whence X₁ y₁